3,437,376

2⁶ × 3 × 17903

Starting at 3,437,376, the Collatz iteration reaches 1 after 146 steps. The first transition is 1718688; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 17903

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 9,095,232

Proper Divisor Sum 5,657,856

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3437363 ← → #3437381

Radix Representation

Decimal	3437376
Binary	1101000111001101000000 (22 bits)
Octal	0o15071500
Hexadecimal	0x347340

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 17,903 35,806 53,709 71,612 107,418 143,224 214,836 286,448 429,672 572,896 859,344 1,145,792 1,718,688 3,437,376

Collatz Trajectory (146 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,437,376 1,718,688 859,344 429,672 214,836 107,418 53,709 161,128 80,564 40,282 20,141 60,424 30,212 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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